Reduced dynamics for one and two dark soliton stripes in the defocusing nonlinear Schrödinger equation: A variational approach

This paper presents an effective formulation for the dynamics and pairwise interactions of dark soliton stripes. By using a variational approach, the authors put forward filament equations that improve on previous methodologies based on adiabatic invariants. In particular, the proposed reduced filament equations provide a reliable model for a wide range of transverse modulational wavelengths.